__Quantitative Aptitude Practice Questions for IBPS PO Mains – Set 3__**Directions (1 – 5): Study the table carefully to answer the questions that follow:**

**Number of trees planted (in Hundreds) by five different NGOs in six**

**Different years in two different states**

**1. Number of trees planted by NGO-Dayavan in the Odisha in the year 2007 was approximately what percentage of the number of trees planted by NGO-Aarambha in the Kerala in the year 2009?**

a) 46

b) 52

c) 70

d) 58

e) None of
these

**2. Which NGO planted the second highest number of trees in both the states together in the year 2009?**

a) Aarambh

b) Bhumitra

c) Chitsukh

d) Dayavan

e) Energy

**3. What was the approximate percentage decrease in the number of trees planted by NGO-Chitsukh in Odisha in the year 2007 as compared to the previous year?**

a) 28

b) 22

c) 26

d) 14

e) None of
these

**4. What was the average number of trees planted by NGO-Chitsukh in the Kerala over the years together?**

a) 1005

b) 1050

c) 1015

d) 1205

e) None of
these

**5. What was the respective ratio between the number of trees planted by NGO-Aarambha in the year 2006 in Kerala and the number of trees planted by NGO-Energy in the year 2008 in Odisha?**

a) 36 : 11

b) 36 : 7

c) 11 : 7

d) 14 : 9

e) None of
these

**Directions (6 – 10): Study the pie-chart carefully to answer the questions that follow:**

**Percentage-wise break-up of spending pattern of a family in a month**

**6. Total amount spent by the family on Commuting and Telephone Bills together forms approximately what per cent of the amount spent on Groceries?**

a) 153

b) 148

c) 135

d) 112

e) 96

**7. Amount invested by the family on Savings forms what per cent of the amount spent on Health?**

a) 123

b) 81.25

c) 120.50

d) 85.75

e) None of
these

**8. What is the ratio of the amount spent by the family on Groceries to the amount spent on House Rent?**

a) 23:18

b) 13:28

c) 18:23

d) 28:13

e) None of
these

**9. What is the total amount spent by the family on Telephone Bills, Health and Electricity together?**

a) Rs.
13,800

b) Rs.
18,600

c) Rs.
17,400

d) Rs.
20,400

e) None of
these

**10. What is the amount spent by the family on Commuting?**

a) Rs.
9,600

b) Rs.
8,400

c) Rs.
7,200

d) Rs.
6,000

e) None of
these

**Directions (11 – 15): Study the following paragraph and answer the questions**

**In St. Mary University, the first year is a foundation program for all the students after which in second year the students can opt for their major subject. In 2013, only 70% of the students passed the first year examination and all of those who passed joined in the second year. In 2013, only 20% of students of first year who passed the first year examination joined Physical Sciences, 30% joined the Arts stream, while remaining joined Commerce stream.**

**Apart from these some students from other Universities who passed their first year also joined St. Mary University. Such students were 20% of the number of first year students from St. Mary University who passed 2013 examination. The break-up of the number of students from other universities across Physical Sciences, Arts and Commerce streams at St. Mary University was in ratio 2:3:5 respectively. In 2013, the number of students in Arts stream in St. Mary University in second year was 504.**

**6.How many first year students of St. Mary University appeared for the first year examination in 2013?**

a) 2000

b) 2500

c) 3000

d) 2600

e) None of
these

**12. What was the number of students in second year Commerce stream in St. Mary University in 2013?**

a) 900

b) 840

c) 880

d) 700

e) None of
these

**13. In 2013, what percent of science stream students in second year at St. Mary University were first year pass outs from St. Mary University only?**

a) 16.66%

b) 83.33%

c) 86%

d) 20%

e) cannot
be determined

**14. If after second year, 10% of Commerce stream students changed to Physical Science stream then what would have been the number of students in third year in Physical Science at St. Mary University in 2014? (Assume no outside student was admitted to third year and no student failed in second year examination in St. Mary University)?**

a) 420

b) 380

c) 480

d) 460

e) None of
these

**15. If the number of girls in second year at St. Mary University in 2013 are distributed in the ratio 2:5:3 across Physical Sciences, Commerce and Arts streams respectively, then what is the number of the girls in second year in 2013 at St. Mary University?**

a) 350

b) 255

c) 380

d) 385

e) Cannot
be determined

**Solutions:**

**1. D)**∴ Number of trees planted by NGO-Dayavan in the Odisha in the year 2007 = 630

∴ Number of
trees planted by NGO-Aarambha in the Kerala in the year 2009 = 1080

∴ Required
Percentage = 630/1080 × 100 = 58.33% ≈ 58%

**2. B)**∴ Number of trees planted by NGO-Aarambha in both the states together in the year 2009= 1080 + 1240 = 2320

∴ Number of
trees planted by NGO-Bhumitra in both the states together in the year 2009=
1260 + 620 = 1880

∴ Number of
trees planted by NGO-Chitsukh in both the states together in the year 2009= 860
+ 640 = 1500

∴ Number of
trees planted by NGO-Dayavan in both the states together in the year 2009= 840
+ 520 = 1360

∴ Number of
trees planted by NGO-Energy in both the states together in the year 2009= 690 +
380 = 1070

Clearly,
NGO-Bhumitra planted the second highest number of trees in both the states
together in the year 2009

**3. D)**∵ Number of trees planted by NGO-Chitsukh in Odisha in the year 2006= 440

∵ Number of
trees planted by NGO-Chitsukh in Odisha in the year 2007= 380

∴ Percentage
decrease = (440 – 380)/440 × 100 = 13.63% ≈ 14%

**4. E)**Required average = (450 + 690 + 540 + 720 + 860 + 1130)/6 = 4390/6 = 731.66

**5. B)**∵ Number of trees planted by NGO-Aarambha in the year 2006 in Kerala = 2160

∵ Number of
trees planted by NGO-Energy in the year 2008 in Odisha = 420

∴ Required
ratio = 2160 : 420 = 36 : 7

**6. E)**∵ Total amount spent by the family in a month = Rs. 60,000

∵ Percentage
spent on commuting = 12%

∵ Percentage
spent on Telephone Bills = 10%

∵ Total
percentage spent on Commuting and Telephone Bills together = 12 + 10 =22%

∴Total
amount spent by the family on Commuting and Telephone Bills together = 22% of
60000 = Rs. 13200

∵ Percentage
spent on Groceries = 23%

∴ Amount
spent by the family on Groceries = 23% of 60000 = Rs. 13800

∴ Required
percentage = 13200/13800 × 100 = 22/23 × 100 = 95.65% ≈ 96%

**7. B)**∵ Total amount spent by the family in a month = Rs. 60,000

∵ Percentage
invested by the family on Savings = 13%

∵ Percentage
spent on Health = 16%

∴ Amount
invested by the family on Savings = 13/100 × 60000 = Rs.7800

∴ Amount
spent on Health = 16/100 × 60000 = Rs.9600

∴ Required
percentage = 7800/9600 × 100 = 13/16 × 100 = 81.25%

**8. A)**∵ Total amount spent by the family in a month = Rs. 60,000

∵ Percentage
spent on Groceries = 23%

∵ Percentage
spent on House Rent = 18%

∴ Amount
spent by the family on Groceries = 23% of 60000

∴ Amount
spent by the family on House Rent = 18% of 60000

∴ Required
ratio = 23% of 60000: 18% of 60000 = 23:18

**9. D)**∵ Total amount spent by the family in a month = Rs. 60,000

∵ Percentage
spent on Telephone Bills = 10%

∵ Percentage
spent on Health = 16%

∵ Percentage
spent on Electricity = 8%

∴ Total
percentage spent by the family on Telephone Bills, Health and Electricity
together = 10 + 16 + 8 = 34%

∴ Total
amount spent by the family on Telephone Bills, Health and Electricity together
= 34% of 60000 = Rs. 20400

**10. C)**∵ Total amount spent by the family in a month = Rs. 60,000

∵ Percentage
spent on commuting = 12%

∴ Amount
spent by the family on Commuting = 12% of 60000 = Rs. 7200

**(11 – 15): Explanation:**

Let
us assume the total number of first year students in St. Mary University be p

Then,
as per data, number of students who passed in first year = .7p

Students
in science ,commerce and arts stream becomes : .14p , .35p , .21p respectively

Total
number of students from other universities = 20% of .7p = .14p

Ratio
of students from other universities in different streams is

Science
=.028p , Arts = .042p , Commerce =.07p

Given
that number of students in arts stream = 504

Therefore,
0.42p+0.21p =504

.252p
= 504 therefore, P=2000

Hence total number of students in first year = 2000

Total
students in promoted to second year = 1400

Students
from other universities joining St. Mary University = .14p=280

Total
Students studying in St. Mary University in second year=1400+280=1680

**11. A)**Total number of students in first year = 2000

**12. B)**Total number of students in commerce stream in 2013

=
0.35p + 0.07p = 0.42p = 0.42p*2000 = 840

**13. B)**Total Science students in St. Mary University= .14p + .028p = 336students.

First
year pass outs of St. Mary joining science stream = 0.14p = 280

Required
Percentage = 286/336*100 = 83.33

**14. B)**Total number of commerce students in 2013 = 0.35p + 0.07p = 0.42p = 840

Total
number of science students in 2013 = 0.14p + 0.028p = 0.168p = 336

10%
of Commerce Students = 84

So,
total number of science students in 2014 = 336 + 84 = 420

**15. E)**No bifurcation of students among boys and girls is given.